A367287 Numbers k such that k^6*2^k + 1 is a prime.

1, 2, 4, 62, 80, 122, 136, 658, 1918, 2998, 3404, 4042, 5678, 8378, 10438, 23530, 24610, 29090, 41650, 120818

Offset

1,2

Comments

No further terms <= 100000. - Michael S. Branicky, Nov 22 2023

Links

Table of n, a(n) for n=1..20.

Prog

(Magma) [k: k in [1..1000] | IsPrime(k^6*2^k + 1)];

Crossrefs

Numbers k such that k^m*2^k + 1 is a prime: 0, 1, 2, 4, 8, 16, .. (m = 0), A005849 (m = 1), A058780 (m = 2), A357612 (m = 3), A366422 (m = 4), A367421 (m = 5), this sequence (m = 6).

Cf. A367478.

Sequence in context: A018352 A121059 A139160 * A245164 A009744 A124592

Adjacent sequences: A367284 A367285 A367286 * A367288 A367289 A367290

Keyword

nonn,more

Author

Juri-Stepan Gerasimov, Nov 21 2023

Extensions

a(16)-a(19) from Michael S. Branicky, Nov 21 2023

a(20) from Michael S. Branicky, Aug 30 2024

Status

approved